a family wants to purchase a house that costs $110,000. they plan to take out a $100,000 mortgage on the house and put $10,000 as a down payment. the bank informs them that with a 15 year mortgage their monthly payment would be $761.52 and with a 30 year mortgage their monthly would be $574.01. determine the amount they would save on the cost of the house if they selected the 15 year mortgage rather than the 30 year mortgage.